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Finding the Fourth Proportional to 22,505.33, 31,054.69 and 12,433.16

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Solution

The fourth proportional to 22,505.33, 31,054.69 and 12,433.16 is: 17,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.33 : 31,054.69 = 12,433.16 : x
  2. Step 2: Convert to fraction form
    22,505.33/31,054.69 = 12,433.16/x
  3. Step 3: Cross multiply
    22,505.33x = 31,054.69 × 12,433.16
  4. Step 4: Simplify right side
    22,505.33x = 386,107,929.52
  5. Step 5: Solve for x
    x = 386,107,929.52/22,505.33
  6. Step 6: Final answer
    x = 17,156.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.